A Mt. SAC counselor is interested in determining whether age and major are associated at Mt SAC. The table below shows the results of a survey for students under 25 years old and 25 and older. Frequencies of Majors and Age Science Humanities Business Other Under 25 90 115 73 48 25 and Older What can be concluded at the a = 0.05 significance level? 64 113 99 37 a. What is the correct statistical test to use? O Independence O Paired t-test Goodness-of-Fit O Homogeneity b. What are the null and alternative hypotheses? Но: O College major and age are dependent. O The distribution of college major is not the same for each age. OCollege major and age are independent. O The distribution of college major is the same for each age. H1: O The distribution of college major is the same for each age. OCollege major and age are dependent. O The distribution of college major is not the same for each age. College major and age are independent. c. The test-statistic for this data = (Please round your answer to three decimal places.)

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 58E: What is meant by the sample space of an experiment?
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A Mt. SAC counselor is interested in determining whether age and major are associated at Mt SAC. The
table below shows the results of a survey for students under 25 years old and 25 and older.
Frequencies of Majors and Age
Science
Humanities
Business
Other
Under 25
90
115
73
48
25 and Older
64
113
99
37
What can be concluded at the a = 0.05 significance level?
a. What is the correct statistical test to use?
O Independence
O Paired t-test
O Goodness-of-Fit
O Homogeneity
b. What are the null and alternative hypotheses?
Но:
O College major and age are dependent.
O The distribution of college major is not the same for each age.
O College major and age are independent.
O The distribution of college major is the same for each age.
H1:
O The distribution of college major is the same for each age.
O College major and age are dependent.
O The distribution of college major is not the same for each age.
O College major and age are independent.
c. The test-statistic for this data =
(Please round your answer to three decimal places.)
Transcribed Image Text:A Mt. SAC counselor is interested in determining whether age and major are associated at Mt SAC. The table below shows the results of a survey for students under 25 years old and 25 and older. Frequencies of Majors and Age Science Humanities Business Other Under 25 90 115 73 48 25 and Older 64 113 99 37 What can be concluded at the a = 0.05 significance level? a. What is the correct statistical test to use? O Independence O Paired t-test O Goodness-of-Fit O Homogeneity b. What are the null and alternative hypotheses? Но: O College major and age are dependent. O The distribution of college major is not the same for each age. O College major and age are independent. O The distribution of college major is the same for each age. H1: O The distribution of college major is the same for each age. O College major and age are dependent. O The distribution of college major is not the same for each age. O College major and age are independent. c. The test-statistic for this data = (Please round your answer to three decimal places.)
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